Volume by disks, shells, or washers?

  • Thread starter KMcFadden
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  • #1
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What is the easiest way to determine if the volume of a solid should be found by using disks, shells, or washers?
 

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  • #2
Personally I always start with the shell method unless it is a really basic, simple shape(disk method)... But to answer ur question, I look for a hole. If there is one, then i am thinking washer, if there isnt and the solid is a very simple shape, then I go with the disk method. For the most complex shapes, i automatically go to the shell method.
 
  • #3
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What is the easiest way to determine if the volume of a solid should be found by using disks, shells, or washers?
There is no one-size-fits-all guidance here. It depends on the function/functions that bound the region being revolved. The disk and washer methods are essentially the same, with the washer method being used if the typical volume element is a disk with a hole in it.

Sometimes one method produces an integral that's easier to evaluate, and sometimes another method does.
 

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